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The notion of the game is decision under uncertainty involving two or more intelligent opponents ,in which each opponent aspires to optimize his own decision at the expense of the other opponents .An opponent is referred to as a player The theory of games was born by Von Neumann's in 1928 and in 1944 Von Neumann and Morgenstern introduced the concept of control for each player in the game and how the player seeks his control to minimize his own scalar cost criterion subject to specified constraints. The theory of fuzzy set is developed for solving problems in which their information's are uncertain. Most of real life problems are considered as large scale ,solving these problems are appropriate decomposition techniques.